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Finding the Fourth Proportional to 292.87, 404.02 and 194.66

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Solution

The fourth proportional to 292.87, 404.02 and 194.66 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.87 : 404.02 = 194.66 : x
  2. Step 2: Convert to fraction form
    292.87/404.02 = 194.66/x
  3. Step 3: Cross multiply
    292.87x = 404.02 × 194.66
  4. Step 4: Simplify right side
    292.87x = 78,646.53
  5. Step 5: Solve for x
    x = 78,646.53/292.87
  6. Step 6: Final answer
    x = 268.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.